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@ARTICLE{Schfer:891405,
      author       = {Schäfer, Thomas and Wentzell, Nils and Šimkovic, Fedor
                      and He, Yuan-Yao and Hille, Cornelia and Klett, Marcel and
                      Eckhardt, Christian J. and Arzhang, Behnam and Harkov,
                      Viktor and Le Régent, François-Marie and Kirsch, Alfred
                      and Wang, Yan and Kim, Aaram J. and Kozik, Evgeny and
                      Stepanov, Evgeny A. and Kauch, Anna and Andergassen, Sabine
                      and Hansmann, Philipp and Rohe, Daniel and Vilk, Yuri M. and
                      LeBlanc, James P. F. and Zhang, Shiwei and Tremblay, A.-M.
                      S. and Ferrero, Michel and Parcollet, Olivier and Georges,
                      Antoine},
      title        = {{T}racking the {F}ootprints of {S}pin {F}luctuations: {A}
                      {M}ulti{M}ethod, {M}ulti{M}essenger {S}tudy of the
                      {T}wo-{D}imensional {H}ubbard {M}odel},
      journal      = {Physical review / X},
      volume       = {11},
      number       = {1},
      issn         = {2160-3308},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {FZJ-2021-01490},
      pages        = {011058},
      year         = {2021},
      abstract     = {The Hubbard model represents the fundamental model for
                      interacting quantum systems and electronic correlations.
                      Using the two-dimensional half-filled Hubbard model at weak
                      coupling as a testing ground, we perform a comparative study
                      of a comprehensive set of state-of-the-art quantum many-body
                      methods. Upon cooling into its insulating antiferromagnetic
                      ground state, the model hosts a rich sequence of distinct
                      physical regimes with crossovers between a high-temperature
                      incoherent regime, an intermediate-temperature metallic
                      regime, and a low-temperature insulating regime with a
                      pseudogap created by antiferromagnetic fluctuations. We
                      assess the ability of each method to properly address these
                      physical regimes and crossovers through the computation of
                      several observables probing both quasiparticle properties
                      and magnetic correlations, with two numerically exact
                      methods (diagrammatic and determinantal quantum Monte Carlo
                      methods) serving as a benchmark. By combining computational
                      results and analytical insights, we elucidate the nature and
                      role of spin fluctuations in each of these regimes. Based on
                      this analysis, we explain how quasiparticles can coexist
                      with increasingly long-range antiferromagnetic correlations
                      and why dynamical mean-field theory is found to provide a
                      remarkably accurate approximation of local quantities in the
                      metallic regime. We also critically discuss whether
                      imaginary-time methods are able to capture the
                      non-Fermi-liquid singularities of this fully nested system.},
      cin          = {JSC / JARA-HPC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406 / $I:(DE-82)080012_20140620$},
      pnm          = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
                      (SDLs) and Research Groups (POF4-511) / High-resolution
                      Functional Renormalisation Group (fRG) calculations for the
                      2d Hubbard model $(jjsc45_20190501)$ / Simulation and Data
                      Laboratory Quantum Materials (SDLQM) (SDLQM)},
      pid          = {G:(DE-HGF)POF4-5111 / $G:(DE-Juel1)jjsc45_20190501$ /
                      G:(DE-Juel1)SDLQM},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000631686900001},
      doi          = {10.1103/PhysRevX.11.011058},
      url          = {https://juser.fz-juelich.de/record/891405},
}